Answer: A. A=(1000-2w)*w B. 250 feet
C. 125 000 square feet
Step-by-step explanation:
The area of rectangular is A=l*w (1)
From another hand the length of the fence is 2*w+l=1000 (2)
L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.
Express l from (2):
l=1000-2w
Substitude l in (1) by 1000-2w
A=(1000-2w)*w (3) ( Part A. is done !)
Part B.
To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))
w1=0 1000-2*w2=0
w2=500
Wmax= (w1+w2)/2=(0+500)/2=250 feet
The width that maximize area A is Wmax=250 feet
Part C. Using (3) and the value of Wmax=250 we can write the following:
A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets
Answer:
R=12 is the solution
I don't know how to explain but it needs to be 20 characters
Answer:
a) acute angle
b) obtuse angle
c) right angle
d) reflex angle
e) straight line angle
f) acute angle
Step-by-step explanation:
Acute angle
- angle that is smaller than 90°
- 0° < θ < 90°
Right angle
- angle that is 90°
- shaped of a "L"
Obtuse angle
- angle that is greater than 90° but smaller than 180°
- 90° < θ < 180°
Straight line angle
- angle that is 180°
- drawn in a straight line
Reflex angle
- angle than is greater than 180°
- θ > 180°
Answer:
48
Step-by-step explanation:
x/3 - 6 = 10
+6 +6
x/3=16
16*3=48
Answer: 9x-3x and 5x+x
Step-by-step explanation:
1. Brianna's thinking is incorrect because of course, when x is 0, the expression will equal whatever value isn't an x term. To find equivalent expression, you actually need to find which expressions have the same amount of x terms and the same value.
2. Expressions A and C are equivalent.
3. Expression A can be simplified, as you can do 9x - 3x = 6x, so your final expression would be 6x - 4. Expression C can also be simplified with 5x + x = 6x, which can then also be written as 6x - 4. This means both expressions have the same amount of x terms, and the same value, so they are equivalent.
